On the Triple Lauricella-Horn-Karlsson q-Hypergeometric Functions

被引：4
作者：
Ernst, Thomas [1 ]
机构：
[1] Uppsala Univ, Dept Math, POB 480, SE-75106 Uppsala, Sweden
来源：
AXIOMS | 2020年 / 9卷 / 03期
关键词：
tripleq-hypergeometric function; convergence region; Wardq-addition; q-integral representation;
D O I：
10.3390/axioms9030093
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Horn-Karlsson approach to find convergence regions is applied to find convergence regions for triple q-hypergeometric functions. It turns out that the convergence regions are significantly increased in the q-case; just as for q-Appell and q-Lauricella functions, additions are replaced by Ward q-additions. Mostly referring to Krishna Srivastava 1956, we give q-integral representations for these functions.
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页数：15
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